“Which block is used in hand surgery?”

Hand is covered by three nerves: Median, Ulnar, and Radial. They could be blocked with one injection of a local anesthetic at the Brachial plexus, site of the origin of those nerves, for example by the Infraclavicular block, below the collar bone, or distally at the wrist, with the 3
separate injections of LA, to cover each nerve at that level. It depends on the extent of your hand surgery, and your hand surgeon's preference.

Digital blocks or axillary nerve blocks

That depends upon the type of surgery that you are having and the Anesthesiologist and surgeon preferences. Possibilities include a local block near the hand or wrist or a block near the shoulder such as a supraclavicular or infraclavicular block. I am certain that your surgeon and anesthesiologist will discuss this with you before your surgery. Good luck!

It depends on the type of hand surgery you are having. At times, the surgery can be performed with sedation and local anesthetic infiltration by the surgeon. However, if there will be a significant amount of pain and discomfort after surgery, the surgeon will request a regional anesthetic block which can be performed in a variety of ways. You should ask your surgeon what you will need for the surgery and speak with the anesthesiologist before your surgery so that you will have an idea of what type of anesthesia you will receive.